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Finding the Fourth Proportional to 1,160.64, 1,741.03 and 420.41

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Solution

The fourth proportional to 1,160.64, 1,741.03 and 420.41 is: 630.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.64 : 1,741.03 = 420.41 : x
  2. Step 2: Convert to fraction form
    1,160.64/1,741.03 = 420.41/x
  3. Step 3: Cross multiply
    1,160.64x = 1,741.03 × 420.41
  4. Step 4: Simplify right side
    1,160.64x = 731,949.72
  5. Step 5: Solve for x
    x = 731,949.72/1,160.64
  6. Step 6: Final answer
    x = 630.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.